document.write( "Question 87398: Find two consecutive odd integers that have a sum of 24. \n" ); document.write( "
Algebra.Com's Answer #63333 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! 2 approaches:\r \n" ); document.write( "\n" ); document.write( "1. trial and error seeing as how the number is not so large:\r \n" ); document.write( "\n" ); document.write( "23+1 \n" ); document.write( "21+3 \n" ); document.write( "19+5 \n" ); document.write( "17+7 \n" ); document.write( "15+9 \n" ); document.write( "13+11 ... there you go.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. using algebra.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x be the smaller of the 2 numbers. The larger number is 2 more than this (as you can see from the answers...but consecutive odd numbers will always have a difference of 2) so larger number is x+2\r \n" ); document.write( "\n" ); document.write( "so x+x+2=24 \n" ); document.write( "2x+2=24 \n" ); document.write( "2x=22 \n" ); document.write( "x=11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so numbers are 11 and 13.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cheers \n" ); document.write( "Jon \n" ); document.write( " \n" ); document.write( " |